Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations

被引：2

作者：

Zhang, Tianwei ^{[1
]}

Li, Yongkun ^{[1
]}

Zhou, Jianwen ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 01期

基金：

中国国家自然科学基金;

关键词：

strong solution; almost automorphy; Galerkin; Fourier; Picard; LINEAR DIFFERENTIAL/DIFFERENCE EQUATIONS; MILD SOLUTIONS; WEIGHTED PSEUDO; EVOLUTION-EQUATIONS; CAUCHY-PROBLEMS; INEQUALITIES; ORDER;

D O I：

10.3390/fractalfract7010088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper gives some results on almost automorphic strong solutions to time-fractional partial differential equations by employing a mix o thef Galerkin method, Fourier series, and Picard iteration. As an application, the existence, uniqueness, and global Mittag-Leffler convergence of almost automorphic strong solution are discussed to a concrete time-fractional parabolic equations. To the best of our knowledge, this is the first study on almost automorphic strong solutions on this subject.

引用

页数：26

共 50 条

[41] On time-fractional relativistic diffusion equations
Shieh, Narn-Rueih
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2012, 3 (02) : 229 - 237
[42] SYSTEMS OF ABSTRACT TIME-FRACTIONAL EQUATIONS
Kostic, Marko
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2014, 95 (109): : 119 - 132
[43] ASYMPTOTICALLY ALMOST AUTOMORPHIC SOLUTIONS OF DYNAMIC EQUATIONS ON TIME SCALES
Lizama, Carlos
Mesquita, Jaqueline G.
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (01) : 59 - 80
[44] Pseudo Almost Automorphic Solution of Semilinear Fractional Differential Equations with the Caputo Derivatives
Dingjiang Wang
Zhinan Xia
Fractional Calculus and Applied Analysis, 2015, 18 : 951 - 971
[45] PSEUDO ALMOST AUTOMORPHIC SOLUTION OF SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH THE CAPUTO DERIVATIVES
Wang, Dingjiang
Xia, Zhinan
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (04) : 951 - 971
[46] Nonuniform Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Parabolic Equations
Zhou, Boya
Chen, Xiaoli
Li, Dongfang
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 85 (02)
[47] Nonuniform Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Parabolic Equations
Boya Zhou
Xiaoli Chen
Dongfang Li
Journal of Scientific Computing, 2020, 85
[48] Almost automorphic solutions for fractional stochastic differential equations and its optimal control
Rajivganthi, C.
Muthukumar, P.
OPTIMAL CONTROL APPLICATIONS & METHODS, 2016, 37 (04): : 663 - 681
[49] Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations
Mophou, Gisele M.
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (19) : 7579 - 7587
[50] Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations
Sakthivel, R.
Revathi, P.
Anthoni, S. Marshal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (07) : 3339 - 3347

← 1 2 3 4 5 →